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Finding the Fourth Proportional to 85,107.72, 117,439.74 and 49,309.32

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Solution

The fourth proportional to 85,107.72, 117,439.74 and 49,309.32 is: 68,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,107.72 : 117,439.74 = 49,309.32 : x
  2. Step 2: Convert to fraction form
    85,107.72/117,439.74 = 49,309.32/x
  3. Step 3: Cross multiply
    85,107.72x = 117,439.74 × 49,309.32
  4. Step 4: Simplify right side
    85,107.72x = 5,790,873,720.38
  5. Step 5: Solve for x
    x = 5,790,873,720.38/85,107.72
  6. Step 6: Final answer
    x = 68,041.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.